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114953136 = 2438212917
BaseRepresentation
bin1101101101000…
…00101110110000
322000022020001120
412312200232300
5213412000021
615223502240
72564041224
oct666405660
9260266046
10114953136
1159984aa1
12325b7980
131aa7aa0c
14113a4784
15a15a2c6
hex6da0bb0

114953136 has 40 divisors (see below), whose sum is σ = 297425904. Its totient is φ = 38257920.

The previous prime is 114953123. The next prime is 114953141. The reversal of 114953136 is 631359411.

It is a junction number, because it is equal to n+sod(n) for n = 114953097 and 114953106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37950 + ... + 40866.

Almost surely, 2114953136 is an apocalyptic number.

114953136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114953136 is an abundant number, since it is smaller than the sum of its proper divisors (182472768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114953136 is a wasteful number, since it uses less digits than its factorization.

114953136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3743 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 114953136 is about 10721.6200268430. The cubic root of 114953136 is about 486.2283470289.

It can be divided in two parts, 1149 and 53136, that added together give a triangular number (54285 = T329).

The spelling of 114953136 in words is "one hundred fourteen million, nine hundred fifty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 821 1642 2463 2917 3284 4926 5834 6568 8751 9852 11668 13136 17502 19704 23336 35004 39408 46672 70008 140016 2394857 4789714 7184571 9579428 14369142 19158856 28738284 38317712 57476568 114953136